I would have written it in such a way that it could have fit with the pre-1999 established EU. Therefore I would have depicted the Sith Order in the same way it’s depicted in the Old Republic video games and comics, with Palpatine and Vader being the ones that established the Rule of Two after the creation of the Empire.
I wouldn’t have changed the name of the characters. Padmé can’t become Nellith. She’s Padmé, and she still looks like Natalie Portman. End of the story.
Since the non-attachment rule doesn’t play any relevant role in this rewrite, I wouldn’t have introduced it at all, and I will have made it clear that the Jedi can actually marry and have a family.
I still would have found a way to have Anakin’s wife die at the end of the Trilogy, because having her death happen offscreen between the PT and the OT is pretty silly for me, and it makes everything overly complicated. Furthermore, to solve the problem posed by Leia’s line in Return of the Jedi, I would have simply established that Force-sensitives have a more developed memory than normal people, and therefore can remember everything from the moment they were born, thus explaining why Leia can remember her mother even though she died as soon as she was born.
The rest is pretty solid.